Realistically I will have to try some shirts on before I make any judgement and tailoring will probably also be necessary to achieve a better fit. Here are some I am looking at at the moment. Once I figure out my proper neck size and sleeve length, something I should have done a long time ago, ordering shirts online will become much easier. I will also consider another online made-to-measure attempt. I will post my findings here as they happen.
Polo Ralph Lauren Custom Fit Regent in a light blue
One of Eddie's, a local menswear shop, house-brand shirts